Simulating the Stabilization Process by Boundary Conditions of a Quasi-Two-Dimensional Flow with a Four-Vortex Structure
- Authors: Kornev A.A.1
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Affiliations:
- Department of Computational Mathematics, Faculty of Mechanics and Mathematics
- Issue: Vol 10, No 3 (2018)
- Pages: 363-372
- Section: Article
- URL: https://journals.rcsi.science/2070-0482/article/view/202393
- DOI: https://doi.org/10.1134/S2070048218030079
- ID: 202393
Cite item
Abstract
A numerical stabilization problem by the boundary conditions of the given initial flow is considered for a two-dimensional system of Navier-Stokes equations that approximately describes the motion of a viscous incompressible fluid in a rectangular cell under an external electro-magnetic force and has an unstable quasi-stationary solution with a four-vortex structure for the selected values of the parameters. A mathematical statement of the problem, a method to solve it, and the results of the numerical computations are presented.
About the authors
A. A. Kornev
Department of Computational Mathematics, Faculty of Mechanics and Mathematics
Author for correspondence.
Email: kornev@mech.math.msu.su
Russian Federation, Moscow, 119899